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Finding the Third Proportional to 1,682,788.50 and 2,610,609.75

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Solution

The third proportional to 1,682,788.50 and 2,610,609.75 is: 4,049,993.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,682,788.50 : 2,610,609.75 = 2,610,609.75 : x
  2. Step 2: Convert to fraction form
    1,682,788.50/2,610,609.75 = 2,610,609.75/x
  3. Step 3: Cross multiply
    1,682,788.50x = 2,610,609.75 × 2,610,609.75
  4. Step 4: Simplify right side
    1,682,788.50x = 6,815,283,266,795.06
  5. Step 5: Solve for x
    x = 6,815,283,266,795.06/1,682,788.50
  6. Step 6: Final answer
    x = 4,049,993.96

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.